Causal Independence and the Energy Level Density of States in Local Quantum Field Theory

Detlev Buchholz, Eyvind H. Wichmann
March 10, 1986
Within the general framework of local quantum field theory a physically motivated condition on the energy-level density of well-localized states is proposed and discussed. It is shown that any model satisfying this condition obeys a strong form of the principle of causal (statistical) independence, which manifests itself in a specific algebraic structure of the local algebras (“split property”). It is also shown that the proposed condition holds in a free field theory.

algebraic quantum field theory, nuclearity conditions, statistical independence, split property